F-theory Yukawa couplings and supersymmetric quantum mechanics Original Research Article

The localized fermions on the intersection curve Σ of D7-branes, are connected to a image supersymmetric quantum mechanics algebra. Due to this algebra the fields obey a global image symmetry. This symmetry restricts the proton decay operators and the neutrino mass terms. Particularly, we find that several proton decay operators are forbidden and the Majorana mass term is the only one allowed in the theory. A special SUSY QM algebra is studied at the end of the paper. In addition we study the impact of a non-trivial holomorphic metric perturbation on the localized solutions along each matter curve. Moreover, we study the connection of the localized solutions to an image supersymmetric quantum mechanics algebra when background fluxes are turned on.